SOLUTION: Another experiment is performed using coins. This time, the experimenter starts with 4 coins. Each time she tosses the coins into the air, she counts the number of heads that appea
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Question 728494: Another experiment is performed using coins. This time, the experimenter starts with 4 coins. Each time she tosses the coins into the air, she counts the number of heads that appear, then adds that number of coins to the number she previously had. The following table shows her results.
Toss Number of Heads Coins
0 4
1 2 6
2 3 9
3 5 14
4 7 21
5 10 31
Part A - Graph the Results
Part B - Explain why the graph appears exponential.
Part C - State an exponential equation that best fits the results. (use n to represent the number of toss).
Part D - State the equation that would represent the number of coins remaining if you started with N(base 0) coins.
Part E - The experimenter repeats this process and claims that one could make a rough prediction about how the coins will increase (given any amount of tosses) based on the formula for compound interest: A=P(1+ i)^n
Of course:
In this case, P represents the amount of coins she started with.
i = 0.5 since the 50% probability of the coins landing on heads.
n= the number of tosses
If her her hypothesis is correct, create a formula that predicts the total number of coins if an unfair coin is used (a weighted coin included in her starting amount of 4) that only comes up heads 1 out of every 4 times.
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